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Finding the Third Proportional to 86,413.50 and 134,118

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Solution

The third proportional to 86,413.50 and 134,118 is: 208,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,413.50 : 134,118 = 134,118 : x
  2. Step 2: Convert to fraction form
    86,413.50/134,118 = 134,118/x
  3. Step 3: Cross multiply
    86,413.50x = 134,118 × 134,118
  4. Step 4: Simplify right side
    86,413.50x = 17,987,637,924
  5. Step 5: Solve for x
    x = 17,987,637,924/86,413.50
  6. Step 6: Final answer
    x = 208,157.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.